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On Regular and Logarithmic Solutions of Ordinary Linear Differential Systems

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Computer Algebra in Scientific Computing (CASC 2005)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3718))

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Abstract

We present an approach to construct all the regular solutions of systems of linear ordinary differential equations using the desingularization algorithm of Abramov & Bronstein (2001) as an auxiliary tool. A similar approach to find all the solutions with entries in C(z) [log z] is presented as well, together with a new hybrid method for constructing the denominator of rational and logarithmic solutions.

Work partially supported by the ECO-NET program of the French Foreign Affairs Ministry, project No. 08119TG, and by RFBR grant No. 04-01-00757.

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Author information

Authors and Affiliations

  1. Dorodnicyn Comp. Center of the Russ. Acad. of Sciences, Moscow, 119991, Russia

    S. A. Abramov & D. E. Khmelnov

  2. INRIA – CAFÉ, BP 93, 06902 Cedex, Sophia Antipolis, France

    M. Bronstein

Authors
  1. S. A. Abramov
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  2. M. Bronstein
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  3. D. E. Khmelnov
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Editor information

Editors and Affiliations

  1. Institute of Informatics, Technische Universität München, Boltzmannstr. 3, 85748, Garching, Germany

    Victor G. Ganzha  & Ernst W. Mayr  & 

  2. Institute of Theoretical and Applied Mechanics, Russian Academy of Sciences, 630090, Novosibirsk, Russia

    Evgenii V. Vorozhtsov

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Abramov, S.A., Bronstein, M., Khmelnov, D.E. (2005). On Regular and Logarithmic Solutions of Ordinary Linear Differential Systems. In: Ganzha, V.G., Mayr, E.W., Vorozhtsov, E.V. (eds) Computer Algebra in Scientific Computing. CASC 2005. Lecture Notes in Computer Science, vol 3718. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11555964_1

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  • DOI: https://doi.org/10.1007/11555964_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-28966-1

  • Online ISBN: 978-3-540-32070-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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